Self-directed learning in hyperspace requires learners to monitor their navigation process involving knowledge construction, which they have carried out so far, since what and how they have learned becomes hazy as the navigation progresses. Although the reflective monitoring is an important activity in the self-directed learning, it is hard for them to keep it during navigating pages. The main issue addressed here is how to support the reflective monitoring. Our approach to this issue is to provide learners with the postviews of their knowledge construction adapted to their navigation process. Following the idea of adaptive postviewing, we have proposed an adaptive postviewer for self-directed learning with existing web-based resources. It generates page postviews and knowledge map, which display information suitable for their reflective monitoring to promote the constructive learning in hyperspace.